Beschreibung:
<jats:title>Abstract</jats:title><jats:p>In this paper we study affine completeness of generalised dihedral groups. We give a formula for the number of unary compatible functions on these groups, and we characterise for every<jats:italic>k</jats:italic>∈ N the<jats:italic>k</jats:italic>-affine complete generalised dihedral groups. We find that the direct product of a 1-affine complete group with itself need not be 1-affine complete. Finally, we give an example of a nonabelian solvable affine complete group. For nilpotent groups we find a strong necessary condition for 2-affine completeness.</jats:p>